The generalized Salem functions defined in terms of certain Cantor expansions
type: Item
instance of: scholarly article
title: The generalized Salem functions defined in terms of certain Cantor expansions
author: Symon Serbenyuk
published in: The Journal of Analysis
publication date: 2024-12-05T00:00:00Z
Mathematics Subject Classification ID: 11K55
Mathematics Subject Classification ID: 11J72
Mathematics Subject Classification ID: 26A27
Mathematics Subject Classification ID: 11B34
Mathematics Subject Classification ID: 39B22
Mathematics Subject Classification ID: 39B72
zbMATH DE Number: 7954798
zbMATH Keywords: shift operator
zbMATH Keywords: systems of functional equations
zbMATH Keywords: continuous functions
zbMATH Keywords: nega-\(q\)-ary expansion
MaRDI profile type: Publication
cites work: On the duality of aggregation operators and \(k\)-negations
cites work: A Salem generalised function
cites work: De Rham's singular function and related functions
cites work: Continuous Functions without Derivatives
cites work: On simple number systems.
cites work: Q3065464
cites work: An explicit formula of the exponential sums of digital sums
cites work: Representations for real numbers and their ergodic properties
cites work: On Some Singular Monotonic Functions Which Are Strictly Increasing
cites work: Cantor series expansions of rational numbers
cites work: Continuous Functions with Complicated Local Structure Defined in Terms of Alternating Cantor Series Representation of Numbers
cites work: On one class of functions with complicated local structure
cites work: Representation of real numbers by the alternating Cantor series
cites work: On one fractal property of the Minkowski function
cites work: Non-Differentiable Functions Defined in Terms of Classical Representations of Real Numbers
cites work: On One Application of Infinite Systems of Functional Equations in Function Theory
cites work: One distribution function on the Moran sets
cites work: Systems of functional equations and generalizations of certain functions
cites work: Certain Functions Defined in Terms of Cantor Series
cites work: The generalized shifts and rational numbers
cites work: Functional equations, alternating expansions, and generalizations of the Salem functions
cites work: A certain modification of classical singular function
cites work: Some types of numeral systems and their modeling
cites work: Physical models of fractal functions
cites work: Most Monotone Functions are Singular
DOI: 10.1007/S41478-023-00711-2
description: scientific article; zbMATH DE number 7954798